(DE) Mathematical Methods in Fluid Mechanics

  • type: Lecture (V)
  • chair: KIT-Fakultäten - KIT-Fakultät für Maschinenbau - Institut für Strömungsmechanik
    KIT-Fakultäten - KIT-Fakultät für Maschinenbau
  • semester: SS 2022
  • place:

    hybrid (in presence/online)

  • time:

    see ILIAS

  • lecturer: Prof. Dr.-Ing. Bettina Frohnapfel
    Dr.-Ing. Davide Gatti
  • sws: 2
  • ects: 6
  • lv-no.: 2154432
  • information: Blended (On-Site/Online)
Content

The students can to simplify the Navier-Stokes equations for specific flow problems. They are able to employ mathematical method in fluid mechanics effectively in order to solve the resulting conservation equations analytically, if possible, or to enable simpler numerical access to the problem. They can describe the limits of applicability of the assumptions made to model the flow behavior.

The lecture will cover a selection of the following topics:

  • Potential flow theory
  • Creeping flows
  • Lubrication theory
  • Boundary-layer theory
  • Laminar-turbulent transition (linear stability theory)
  • Turbulent flows
  • Numerical solution of the governing equation (finite difference methods)

The students can to simplify the Navier-Stokes equations for specific flow problems. They are able to employ mathematical method in fluid mechanics effectively in order to solve the resulting conservation equations analytically, if possible, or to enable simpler numerical access to the problem. They can describe the limits of applicability of the assumptions made to model the flow behavior.

Language of instructionGerman
Bibliography

Kundu, P.K., Cohen, K.M.: Fluid Mechanics, Elsevier, 4th Edition, 2008

Kuhlmann, H.: Strömungsmechanik, Pearson, 2007

Spurk, J. H.: Strömungslehre, Springer, 2006

Zierep, J., Bühler, K.: Strömungsmechanik, Springer, 1991

Schlichting H., Gersten K., Grenzschichttheorie, Springer, 2006

Kundu, P.K., Cohen, K.M.: Fluid Mechanics, Elsevier, 4th Edition, 2008

Batchelor, G.K.: An Introduction to Fluid Dynamics, Cambridge Mathematical Library, 2000

Pope, S. B.: Turbulent Flows, Cambridge University Press, 2000

Ferziger, H., Peric, M.: Computational Methods for Fluid Dynamics, Springer, 2008